PERCENTAGE 1 / 20 In an examination A got 25% marks more than B, B got 10% less than C and C got 25% more than D. If D got 320 marks out of 500, the marks obtained by A were ? 405 450 360 400 2 / 20 If each side of a cube is increased by 10% the volume of the cube will increase by ? 30% 10% 33.1% 25% 3 / 20 A man received 8,80,000 as his annual salary of the year 2007 which was 10% more than his annual salary in 2006. His annual salary in the year 2006 was ? 4,80,000 8,00,000 4,00,000 8,40,000 4 / 20 A Set A consists of integers 27, 28, 30, 32, and 33. If integer k is included in the average of set A will increase by 30%. What is the value of integer K ? 80 82 84 86 5 / 20 A man bought some eggs of which 10% are rotten. He gives 80% of the remainder to his neighbours. Now he is left out with 36 eggs. How many eggs he bought ? 50 100 200 250 6 / 20 An individual pays 30% income tax. On this tax he has to pay a surcharge of 10%. Thus, the net tax rate, he has to pay, is ? 45% 40% 33% 27% 7 / 20 Due to an increase of 50% in the price of eggs, 4 eggs less are available for 24. The present rate of eggs per dozen is ? 34 35 36 37 8 / 20 If a man receives on one-fourth of his capital 3% interest, on two third 5% and on the remainder 11%, the percentage he receives on the whole is ? 4 5 6 7 9 / 20 In an office 40% of the staff is female, 40% of the females and 60% of the males voted for me. The percentage of votes I got was ? 24% 42% 50% 52% 10 / 20 The strength of a school increases and decreases in every alternate year by 10%. It started with increase in 2000. Then the strength of the school in 2003 as compared to that in 2000 was ? increased by 8.9% decreased by 8.9% increased by 9.8% decreased by 9.8% 11 / 20 When the price of an article was reduced by 20% its sale increased by 80%. What was the net effect on the sale ? 44% increase 44% decrease 66% increase 75% increase 12 / 20 In an examination there were 640 boys and 360 girls. 60% of boys and 80% of girls were successful. The percentage of failure was ? 20% 60% 30.5% 32.8% 13 / 20 If the price of rice be raised by 25%, the percent by which a house-holder must reduce his consumption of rice so as not to increase his expenditure on rice is ? 22% 25.75% 25% 20% 14 / 20 In the new budget, the price of kerosene oil rose by 25%. By how much per cent must a person reduce his consumption of kerosene oil so that his expenditure on it does not increase ? 20% 25% 50% 40% 15 / 20 The ratio 5 : 4 expressed as a per cent equals ? 125% 80% 40% 12.5% 16 / 20 If the total monthly income of 16 persons is 80,800 and the income of one of them is 120% of the average income, then his income is ? 5,050 6,060 6,160 6,600 17 / 20 If 60% of A’s income is equal to 75% of B’s income, then B’s income is equal to x% of A’s income. The value of x is ? 70 60 80 90 18 / 20 Half of 1 per cent, written as a decimal, is ? 0.2 0.02 0.005 0.05 19 / 20 What is 20% of 25% of 300 ? 150 60 45 15 20 / 20 If p% of p is 36, then p is equal to ? 3600 600 60 15 Your score is The average score is 0% 0% Restart quiz PROFIT AND LOSS 1 / 25 On selling 17 balls at 720, there is a loss equal to the cost price of 5 balls. The cost price (in ) of a ball is ? 45 50 55 60 2 / 25 By selling a fan for 600, a man loses 10%. To make a gain of 20%, the selling price of the fan should be ? 900 1000 700 800 3 / 25 On selling an article for 105 a trader loses 9%. To gain 30% he should sell the article at ? 126 144 150 139 4 / 25 A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit % ? 20% 21% 22% None of these 5 / 25 A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or profit is in proportion to their investments) ? Rs. 72 Rs. 320 Rs. 400 Rs. 360 6 / 25 A shopkeeper offers a discount of 10% on his articles. The marked price of the article is 450. The selling price should be ? 395 410 405 400 7 / 25 An increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for 40. The price of 15 mangoes before increase was ? 10 15 20 25 8 / 25 A shopkeeper sells an article at 15% gain. Had he sold it for 18 more, he would have gained 18%. The cost price (in ) of the article is ? 540 318 600 350 9 / 25 A T.V was sold at a profit of 5%. If it had been sold at a profit of 10%, the profit would have been Rs. 1000 more. What is its cost price ? Rs. 20000 Rs. 5000 Rs. 10000 Rs. 15000 10 / 25 By selling 4 articles for 1 rupee, a man loses 4%. Had he sold three articles per rupee, the profit would have been ? 30% 28% 16% 12% 11 / 25 Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his percent loss on the labelled price ? 2% 6% 4% 8% 12 / 25 On selling an article for 170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at ? 215.50 212.50 ' 240 210 13 / 25 To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is ? 2.5 Kg 5 Kg 7.5 Kg 10 Kg 14 / 25 An article is sold at 5% profit. The ratio of selling price and cost price will be ? 1 : 5 20 : 21 21 : 20 5 : 1 15 / 25 The prices of a refrigerator and a television set are in the ratio 5 : 3. If the refrigerator costs 5500 more than the television set, then the price of the refrigerator is ? 27500 8250 13750 16500 16 / 25 Arun buys one kilogram of apples for Rs. 120 and sells it to Swati gaining 25%. Swati sells it to Divya who again sells it for Rs. 198, making a profit of 10%. What is the profit percentage made by Swati ? 25% 20% 16.67% 15% 17 / 25 A vendor sells lemons at the rate of 5 for 14, gaining thereby 40%. For how much did he buy a dozen lemons ? 20 21 24 28 18 / 25 By selling 12 oranges for 60, a man loses 25%. The number of oranges he has to sell for 100, so as to gain 25% is ? 10 11 12 15 19 / 25 If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit per cent is ? 20% 25% 15% 5% 20 / 25 If the cost price is 95% of the selling price, what is the profit percent ? 4% 4.75% 5% 5.26% 21 / 25 A trader has 600kgs of rice , a part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole , he incurs an overall loss of 6% .What is the quantity of rice he sold at 20% loss?ARs 360BRs 960CRs 560DRs 460 A B C D 22 / 25 A dishonest shopkeeper professes to sell pulses at the 20% profit , also he uses a false weight of 800gm for a kg, His actual gain is____%.A25%B15%C20%D50% A B C D Let CP of 1000g item =Rs.1000 CP of 800g item =Rs.800SP of 800g item =Rs.1000Profit by false weight = 1000−800 = 200profit by selling = 20% of 1000 = 200P% = 400/800×100 =50% 23 / 25 On selling 15 balls at Rs 400 there is loss equal to Cost Price of 5 balls. The cost price of a ball is?ARs 30BRs 35CRs 40DRs 45 A B C D Let the cost price of 1 ball be x.According to the problem, the loss incurred on selling 15 balls at Rs 400 is equal to the cost price of 5 balls. This can be written as:Loss = Cost price of 5 balls15x−400 = 5x 10x = 400 x = 40Therefore, the cost price of 1 ball is Rs 40. 24 / 25 If selling price is doubled then, the profit triples. What is profit per cent?A20%B75%C100%D50% A B C D Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x−100) Now the S.P is doubled, then the new S.P is 2x New profit is (2x−100)Now as per the given condition;=> 3(x−100) = 2x−100By solving, we getx = 200Then the Profit percent = (200−100)/100 = 100Hence the profit percentage is 100% 25 / 25 A and B, there are two companies, selling the packs of cold-drinks. For the same selling price A gives two successive discounts of 10% and 25%. While B sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?A. 143 : 144B. 19 : 11C. 136 : 135D. 73 : 77 A B C D A = 90/100*75/100=> 0.675B = 85/100*80/100=> 0.68=> 680 : 675=> 136 : 135 Your score is The average score is 0% 0% Restart quiz SIMPLE INTEREST 1 / 20 At the same rate of simple interest sum of the interest of 300 for 4 years and the interest of 400 for 3 years is 120. The rate of interest is ? 5% 4% 6% 10% 2 / 20 What equal instalment of annual payment will discharge a debt which is due as 848 at the end of 4 years at 4% per annum simple interest ? 212 200 250 225 3 / 20 A sum of 1000 is lent out partly at 8% and the remaining at 10% per annum. If the yearly income on the average is 9.2%, the two parts respectively are ? 400, 600 450, 550 500, 500 550, 450 4 / 20 800 amounts to 920 in 3 years at simple interest. If the interest rate is increased by 3%, it would amount to ? 1,056 1,112 1,182 992 5 / 20 Ratio of the principal and the amount after 1 year is 10:12. Then the rate of interest per annum is ? 12% 16% 18% 20% 6 / 20 A person deposited 500 for 4 years and 600 for 3 years at the same rate of simple interest in a bank. Altogether he received 190 as interest. The rate of simple interest per annum was ? 4% 5% 2% 3% 7 / 20 Mohan lent some amount of money at 9% simple interest and an equal amount of money at 10% simple interest each for two years. If his total interest was Rs. 760, what amount was lent in each case ? 1700 1800 1900 2000 8 / 20 The simple interest on a sum for 5 years is one fourth of the sum. The rate of interest per annum is ? 5% 6% 4% 8% 9 / 20 A certain sum of money amounts to Rs. 2200 at 5% p.a. rate of interest, Rs. 2320 at 8% interest in the same period of time. The period of time is ? 3 years 4 years 5 years 2 years 10 / 20 What sum of money will amount to 520 in 5 years and to 568 in 7 years at simple interest ? 400 120 510 220 11 / 20 In how many years will a sum of 3,000 yield a simple interest of 1,080 at 12% per annum ? 3 years 2 and 1/2 years 2 years 3 and 1/2 years 12 / 20 The sum lent at 5% per annum (i.e. 365 days) simple interest, that produces interest, of 2.00 a day, is ? 14,000 14,700 14,600 7,300 13 / 20 If the simple interest on Re. 1 for 1 month is 1 paisa, then the rate per cent per annum will be ? 10% 8% 12% 6% 14 / 20 In how many years a sum of Rs. 3000 will yield an interest of Rs. 1080 at 12% per annum simple interest ? 4 years 3 years 5 years 6 years 15 / 20 6,000 becomes 7,200 in 4 years at a certain rate of simple interest. If the rate becomes 1.5 times of itself, the amount of the same principal in 5 years will be ? 8,000 8,250 9,250 9,000 16 / 20 The rate of simple interest per annum at which a sum of money doubles itself in 16 and 2/3 years is ? 4 % 5 % 6 % 7 % 17 / 20 If the simple interest for 6 years be equal to 30% of the principal, it will be equal to the principal after ? 20 years 30 years 10 years 22 years 18 / 20 In simple interest rate per annum a certain sum amounts to Rs. 5,182 in 2 years and Rs. 5,832 in 3 years. The principal in rupees is ? Rs. 2882 Rs. 5000 Rs. 3882 Rs. 4000 19 / 20 A man took a loan from a bank at the rate of 12% per annum at simple interest. After 3 years he had to pay 5,400 as interest only for the period. The principal amount borrowed by him was ? 2,000 10,000 20,000 15,000 20 / 20 500 was invested at 12% per annum simple interest and a certain sum of money invested at 10% per annum simple interest. If the sum of the interest on both the sum after 4 years is 480, the latter sum of money is ? 450 750 600 550 Your score is The average score is 0% 0% Restart quiz PROBLEMS ON TRAINS 1 1 / 20 How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? 25 30 40 45 2 / 20 A train moves past a telegraph post and a bridge 264 m long in 8 seconds and 20 seconds respectively. What is the speed of the train? 69.5 km/hr 70 km/hr 79 km/hr 79.2 km/hr 3 / 20 A train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds. Its length is: 50 m 150 m 200 m 250 m 4 / 20 A 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? 320 m 350 m 650 m 700 m 5 / 20 A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is: 130 360 500 540 6 / 20 A train 110 metres long is running with a speed of 60 kmph. In what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going? 5 sec 6 sec 7 sec 10 sec 7 / 20 Two trains 140 m and 160 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time (in seconds) which they take to cross each other, is: 9 9.6 10 10.8 8 / 20 Two trains, each 100 m long, moving in opposite directions, cross each other in 8 seconds. If one is moving twice as fast the other, then the speed of the faster train is: 30 km/hr 45 km/hr 60 km/hr 75 km/hr 9 / 20 A goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds. What is the length of the goods train? 230 m 240 m 260 m 270 m 10 / 20 A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? 230 m 240 m 260 m 320 m 11 / 20 A jogger running at 9 kmph alongside a railway track in 240 metres ahead of the engine of a 120 metres long train running at 45 kmph in the same direction. In how much time will the train pass the jogger? 3.6 sec 18 sec 36 sec 72 sec 12 / 20 Two trains are moving in opposite directions @ 60 km/hr and 90 km/hr. Their lengths are 1.10 km and 0.9 km respectively. The time taken by the slower train to cross the faster train in seconds is: 36 45 48 49 13 / 20 A train 360 m long is running at a speed of 45 km/hr. In what time will it pass a bridge 140 m long? 40 sec 42 sec 45 sec 48 sec 14 / 20 Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train passes the slower train in 36 seconds. The length of each train is: 50 m 72 m 80 m 82 m 15 / 20 A train 240 m long passes a pole in 24 seconds. How long will it take to pass a platform 650 m long? 65 sec 89 sec 100 sec 150 sec 16 / 20 A train passes a station platform in 36 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? 120 m 240 m 300 m None of these 17 / 20 Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is: 1 : 3 3 : 2 3 : 4 None of these 18 / 20 The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is: 200 m 225 m 245 m 250 m 19 / 20 A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 45 km/hr 50 km/hr 54 km/hr 55 km/hr 20 / 20 A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? 120 metres 180 metres 324 metres 150 metres Your score is The average score is 0% 0% Restart quiz SIMPLIFICATON 1 / 20 Simplify the following equation ?2003 x 2004 - 2001 x 2002 = ? 8010 8020 8030 8040 2 / 20 Simplify39.96% of 649.85 ÷÷13.07 = 45.14 - ? 25 26 27 28 3 / 20 1397 x 1397 = ?Here what replaces '?' 1951609 1821504 2031489 1847879 4 / 20 If a * b = 2a - 3b + ab, then 3 * 5 + 5 * 3 is equal to : 22 23 24 25 5 / 20 If 2 tables and 3 chairs cost Rs, 3500 and 3 tables and 2 chairs cost Rs. 4000, then how much does a table cost ? 500 1000 1500 2000 6 / 20 In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is : 35 38 40 42 7 / 20 Solve the following : 80÷[48−56−(60−36÷12×4)]=? 5 8 4 2 8 / 20 David gets on the elevator at the 11^{th} floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross ? 19 28 30 37 9 / 20 A man has some hens and cows. If the number of heads be 48 and the number of feet equals 140, then the number of hens will be: 22 23 24 26 10 / 20 Free notebooks were distributed equally among children of a class. The number of notebooks each child got was one-eighth of the number of children. Had the number of children been half, each child would have got 16 notebooks. Total how many notebooks were distributed ? 256 432 512 640 11 / 20 In a regular week, there are 5 working days and for each day, the working hours are 8. A man gets Rs. 2.40 per hour for regular work and Rs. 3.20 per hours for overtime. If he earns Rs. 432 in 4 weeks, then how many hours does he work for ? 160 175 180 195 12 / 20 To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present ? 10 35 62.5 75 13 / 20 Eight people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by: 1/7 1/8 1/9 7/8 14 / 20 A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed: 30 birds 60 birds 72 birds 90 birds 15 / 20 One-third of Rahul's savings in National Savings Certificate is equal to one-half of his savings in Public Provident Fund. If he has Rs. 1,50,000 as total savings, how much has he saved in Public Provident Fund ? Rs. 30,000 Rs. 50,000 Rs. 60,000 Rs. 90,000 16 / 20 The price of 2 sarees and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? Rs. 1200 Rs. 2400 Rs. 4800 Rs. 3600 17 / 20 If a - b = 3 and a^{2} + b^{2} = 29, find the value of ab. 10 12 15 18 18 / 20 The price of 10 chairs is equal to that of 4 tables. The price of 15 chairs and 2 tables together is Rs. 4000. The total price of 12 chairs and 3 tables is: Rs. 3500 Rs. 3750 Rs. 3840 Rs. 3900 19 / 20 There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is: 20 80 100 200 20 / 20 A man has Rs.480 in the denominations of one-rupee notes, five-rupee notes and ten-rupee notes. The number of notes of each denomination is equal. What is the total number of notes that he has ? 45 60 75 90 Your score is The average score is 0% 0% Restart quiz PROFIT AND LOSS 1 / 25 On selling 17 balls at 720, there is a loss equal to the cost price of 5 balls. The cost price (in ) of a ball is ? 45 50 55 60 2 / 25 By selling a fan for 600, a man loses 10%. To make a gain of 20%, the selling price of the fan should be ? 900 1000 700 800 3 / 25 On selling an article for 105 a trader loses 9%. To gain 30% he should sell the article at ? 126 144 150 139 4 / 25 A grocery dealer cheats to the extent of 10% while buying as well as selling by using false weight. What is his increase in the profit % ? 20% 21% 22% None of these 5 / 25 A and B invest Rs. 3000 and Rs. 2400 respectively in a business. If after one year there is a loss of Rs. 720, how much loss will B bear? (Loss or profit is in proportion to their investments) ? Rs. 72 Rs. 320 Rs. 400 Rs. 360 6 / 25 A shopkeeper offers a discount of 10% on his articles. The marked price of the article is 450. The selling price should be ? 395 410 405 400 7 / 25 An increase of 20% in the price of mangoes enables a person to purchase 4 mangoes less for 40. The price of 15 mangoes before increase was ? 10 15 20 25 8 / 25 A shopkeeper sells an article at 15% gain. Had he sold it for 18 more, he would have gained 18%. The cost price (in ) of the article is ? 540 318 600 350 9 / 25 A T.V was sold at a profit of 5%. If it had been sold at a profit of 10%, the profit would have been Rs. 1000 more. What is its cost price ? Rs. 20000 Rs. 5000 Rs. 10000 Rs. 15000 10 / 25 By selling 4 articles for 1 rupee, a man loses 4%. Had he sold three articles per rupee, the profit would have been ? 30% 28% 16% 12% 11 / 25 Arvind purchased a wrist watch with 30% discount on the labelled price. He sold it with 40% profit on the price he bought. What was his percent loss on the labelled price ? 2% 6% 4% 8% 12 / 25 On selling an article for 170, a shopkeeper loses 15%. In order to gain 20%, he must sell that article at ? 215.50 212.50 ' 240 210 13 / 25 To gain 10% on selling sample milk at the cost price of pure milk, the quantity of water to be mixed with 50 kg. of pure milk is ? 2.5 Kg 5 Kg 7.5 Kg 10 Kg 14 / 25 An article is sold at 5% profit. The ratio of selling price and cost price will be ? 1 : 5 20 : 21 21 : 20 5 : 1 15 / 25 The prices of a refrigerator and a television set are in the ratio 5 : 3. If the refrigerator costs 5500 more than the television set, then the price of the refrigerator is ? 27500 8250 13750 16500 16 / 25 Arun buys one kilogram of apples for Rs. 120 and sells it to Swati gaining 25%. Swati sells it to Divya who again sells it for Rs. 198, making a profit of 10%. What is the profit percentage made by Swati ? 25% 20% 16.67% 15% 17 / 25 A vendor sells lemons at the rate of 5 for 14, gaining thereby 40%. For how much did he buy a dozen lemons ? 20 21 24 28 18 / 25 By selling 12 oranges for 60, a man loses 25%. The number of oranges he has to sell for 100, so as to gain 25% is ? 10 11 12 15 19 / 25 If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit per cent is ? 20% 25% 15% 5% 20 / 25 If the cost price is 95% of the selling price, what is the profit percent ? 4% 4.75% 5% 5.26% 21 / 25 A trader has 600kgs of rice , a part of which he sells at 15% profit and the remaining quantity at 20% loss. On the whole , he incurs an overall loss of 6% .What is the quantity of rice he sold at 20% loss?ARs 360BRs 960CRs 560DRs 460 A B C D 22 / 25 A dishonest shopkeeper professes to sell pulses at the 20% profit , also he uses a false weight of 800gm for a kg, His actual gain is____%.A25%B15%C20%D50% A B C D Let CP of 1000g item =Rs.1000 CP of 800g item =Rs.800SP of 800g item =Rs.1000Profit by false weight = 1000−800 = 200profit by selling = 20% of 1000 = 200P% = 400/800×100 =50% 23 / 25 On selling 15 balls at Rs 400 there is loss equal to Cost Price of 5 balls. The cost price of a ball is?ARs 30BRs 35CRs 40DRs 45 A B C D Let the cost price of 1 ball be x.According to the problem, the loss incurred on selling 15 balls at Rs 400 is equal to the cost price of 5 balls. This can be written as:Loss = Cost price of 5 balls15x−400 = 5x 10x = 400 x = 40Therefore, the cost price of 1 ball is Rs 40. 24 / 25 If selling price is doubled then, the profit triples. What is profit per cent?A20%B75%C100%D50% A B C D Let the C.P be Rs.100 and S.P be Rs.x, Then The profit is (x−100) Now the S.P is doubled, then the new S.P is 2x New profit is (2x−100)Now as per the given condition;=> 3(x−100) = 2x−100By solving, we getx = 200Then the Profit percent = (200−100)/100 = 100Hence the profit percentage is 100% 25 / 25 A and B, there are two companies, selling the packs of cold-drinks. For the same selling price A gives two successive discounts of 10% and 25%. While B sells it by giving two successive discounts of 15% and 20%. What is the ratio of their marked price?A. 143 : 144B. 19 : 11C. 136 : 135D. 73 : 77 A B C D A = 90/100*75/100=> 0.675B = 85/100*80/100=> 0.68=> 680 : 675=> 136 : 135 Your score is The average score is 0% 0% Restart quiz PROBLEMS ON H.C.F AND L.C.M 1 / 20 The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is: 15 cm 25 cm 35 cm 42 cm Required length = H.C.F. of 700 cm, 385 cm and 1295 cm = 35 cm. 2 / 20 252 can be expressed as a product of primes as: 2 x 2 x 3 x 3 x 7 2 x 2 x 2 x 3 x 7 3 x 3 x 3 x 3 x 7 2 x 3 x 3 x 3 x 7 Clearly, 252 = 2 x 2 x 3 x 3 x 7. 3 / 20 The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is: 1008 1015 1022 1032 Required number = (L.C.M. of 12,16, 18, 21, 28) + 7 = 1008 + 7= 1015 4 / 20 The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is: 12 16 24 48 Let the numbers be 3x and 4x. Then, their H.C.F. = x. So, x = 4.So, the numbers 12 and 16.L.C.M. of 12 and 16 = 48. 5 / 20 What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ? 196 630 1260 2520 L.C.M. of 12, 18, 21 30 2 | 12 - 18 - 21 - 30----------------------------= 2 x 3 x 2 x 3 x 7 x 5 = 1260. 3 | 6 - 9 - 21 - 15----------------------------Required number = (1260 ÷ 2) | 2 - 3 - 7 - 5= 630. 6 / 20 The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is: 279 283 308 318 7 / 20 A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ? 26 minutes and 18 seconds 42 minutes and 36 seconds 45 minutes 46 minutes and 12 seconds 8 / 20 The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is: 1677 1683 2523 3363 L.C.M. of 5, 6, 7, 8 = 840. Required number is of the form 840k + 3Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 x 2 + 3) = 1683. 9 / 20 The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is: 3 13 23 33 L.C.M. of 5, 6, 4 and 3 = 60.On dividing 2497 by 60, the remainder is 37. Number to be added = (60 - 37) = 23. 10 / 20 Find the lowest common multiple of 24, 36 and 40. 120 240 360 480 11 / 20 The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is: 74 94 184 364 L.C.M. of 6, 9, 15 and 18 is 90.Let required number be 90k + 4, which is multiple of 7.Least value of k for which (90k + 4) is divisible by 7 is k = 4. Required number = (90 x 4) + 4 = 364. 12 / 20 The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is: 1 2 3 4 et the numbers 13a and 13b.Then, 13a x 13b = 2028 ab = 12.Now, the co-primes with product 12 are (1, 12) and (3, 4).[Note: Two integers a and b are said to be coprime or relatively prime if they have no common positive factor other than 1 or, equivalently, if their greatest common divisor is 1 ]So, the required numbers are (13 x 1, 13 x 12) and (13 x 3, 13 x 4).Clearly, there are 2 such pairs. 13 / 20 The G.C.D. of 1.08, 0.36 and 0.9 is: 0.03 0.9 0.18 0.108 Given numbers are 1.08, 0.36 and 0.90. H.C.F. of 108, 36 and 90 is 18, H.C.F. of given numbers = 0.18. 14 / 20 Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is: 40 80 120 200 Let the numbers be 3x, 4x and 5x.Then, their L.C.M. = 60x.So, 60x = 2400 or x = 40. The numbers are (3 x 40), (4 x 40) and (5 x 40).Hence, required H.C.F. = 40. 15 / 20 The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is: 101 107 111 185 Let the numbers be 37a and 37b.Then, 37a x 37b = 4107 ab = 3.Now, co-primes with product 3 are (1, 3).So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111). Greater number = 111. 16 / 20 The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: 9000 9400 9600 9800 Greatest number of 4-digits is 9999.L.C.M. of 15, 25, 40 and 75 is 600.On dividing 9999 by 600, the remainder is 399. Required number (9999 - 399) = 9600. 17 / 20 Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is: 4 5 6 8 N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305)= H.C.F. of 3360, 2240 and 5600 = 1120.Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4 18 / 20 Six bells commence tolling together and toll at intervals of 2, 4, 6, 8 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ? 4 10 15 16 L.C.M. of 2, 4, 6, 8, 10, 12 is 120.So, the bells will toll together after every 120 seconds(2 minutes). In 30 minutes, they will toll together 30/2+1 = 16 times 19 / 20 The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is: 276 299 322 345 Clearly, the numbers are (23 x 13) and (23 x 14). Larger number = (23 x 14) = 322. 20 / 20 Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case. 4 7 9 13 Required number = H.C.F. of (91 - 43), (183 - 91) and (183 - 43)= H.C.F. of 48, 92 and 140 = 4. Your score is The average score is 0% 0% Restart quiz